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Simplifying 82 = 5n + 3(-2 + 2n) 82 = 5n + (-2 * 3 + 2n * 3) 82 = 5n + (-6 + 6n) Reorder the terms: 82 = -6 + 5n + 6n Combine like terms: 5n + 6n = 11n 82 = -6 + 11n Solving 82 = -6 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 82 + -11n = -6 + 11n + -11n Combine like terms: 11n + -11n = 0 82 + -11n = -6 + 0 82 + -11n = -6 Add '-82' to each side of the equation. 82 + -82 + -11n = -6 + -82 Combine like terms: 82 + -82 = 0 0 + -11n = -6 + -82 -11n = -6 + -82 Combine like terms: -6 + -82 = -88 -11n = -88 Divide each side by '-11'. n = 8 Simplifying n = 8
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